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Finding the Fourth Proportional to 2,125.37, 3,188.07 and 1,014.89

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Solution

The fourth proportional to 2,125.37, 3,188.07 and 1,014.89 is: 1,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.37 : 3,188.07 = 1,014.89 : x
  2. Step 2: Convert to fraction form
    2,125.37/3,188.07 = 1,014.89/x
  3. Step 3: Cross multiply
    2,125.37x = 3,188.07 × 1,014.89
  4. Step 4: Simplify right side
    2,125.37x = 3,235,524.42
  5. Step 5: Solve for x
    x = 3,235,524.42/2,125.37
  6. Step 6: Final answer
    x = 1,522.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.